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Finding the Fourth Proportional to 920.34, 1,380.18 and 646.32

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Solution

The fourth proportional to 920.34, 1,380.18 and 646.32 is: 969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.34 : 1,380.18 = 646.32 : x
  2. Step 2: Convert to fraction form
    920.34/1,380.18 = 646.32/x
  3. Step 3: Cross multiply
    920.34x = 1,380.18 × 646.32
  4. Step 4: Simplify right side
    920.34x = 892,037.94
  5. Step 5: Solve for x
    x = 892,037.94/920.34
  6. Step 6: Final answer
    x = 969.25

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.